{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Ungraded Lab:  Overfitting \n",
    "\n",
    "<img align=\"left\" src=\"./images/C1_W3_Overfitting_a.png\"     style=\" width:250px; padding: 10px; \" >\n",
    "<img align=\"left\" src=\"./images/C1_W3_Overfitting_b.png\"     style=\" width:250px; padding: 10px; \" >\n",
    "<img align=\"left\" src=\"./images/C1_W3_Overfitting_c.png\"     style=\" width:250px; padding: 10px; \" >"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Goals\n",
    "In this lab, you will explore:\n",
    "- the situations where overfitting can occur\n",
    "- some of the solutions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib widget\n",
    "import matplotlib.pyplot as plt\n",
    "from ipywidgets import Output\n",
    "from plt_overfit import overfit_example, output\n",
    "plt.style.use('./deeplearning.mplstyle')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Overfitting\n",
    "The week's lecture described situations where overfitting can arise. Run the cell below to generate a plot that will allow you to explore overfitting. There are further instructions below the cell."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "Output()",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "6b3d7992b1ad49f9a313ec228ac5ddbf"
      }
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "Canvas(footer_visible=False, header_visible=False, toolbar=Toolbar(toolitems=[('Home', 'Reset original view', …",
      "image/png": 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",
      "text/html": "\n            <div style=\"display: inline-block;\">\n                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n                    Figure\n                </div>\n                <img src='' width=800.0/>\n            </div>\n        ",
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "b05f923a07e14eb4a798cd82a0ddf399"
      }
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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.close(\"all\")\n",
    "display(output)\n",
    "ofit = overfit_example(False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "In the plot above you can:\n",
    "- switch between Regression and Categorization examples\n",
    "- add data\n",
    "- select the degree of the model\n",
    "- fit the model to the data  \n",
    "\n",
    "Here are some things you should try:\n",
    "- Fit the data with degree = 1; Note 'underfitting'.\n",
    "- Fit the data with degree = 6; Note 'overfitting'\n",
    "- tune degree to get the 'best fit'\n",
    "- add data:\n",
    "    - extreme examples can increase overfitting (assuming they are outliers).\n",
    "    - nominal examples can reduce overfitting\n",
    "- switch between `Regression` and `Categorical` to try both examples.\n",
    "\n",
    "To reset the plot, re-run the cell. Click slowly to allow the plot to update before receiving the next click.\n",
    "\n",
    "Notes on implementations:\n",
    "- the 'ideal' curves represent the generator model to which noise was added to achieve the data set\n",
    "- 'fit' does not use pure gradient descent to improve speed. These methods can be used on smaller data sets. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "## Congratulations!\n",
    "You have developed some intuition about the causes and solutions to overfitting. In the next lab, you will explore a commonly used solution, Regularization."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": []
  }
 ],
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